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DS Is |x-y|> |x+y|? Explanation question

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Problem:

Is |x - y| > |x + y| ?

1. x^2 - y^2 = 9
2. x - y = 2

[Reveal] Spoiler:
The solution is C. In the solution explanation it says

"from S1 and S2 it follows that 2(x + y) = 9 from where (x + y) = 4.5."

So my question is:
How do you go from:

S1 and S2 (x^2 - x^y = 9 and x - y = 2)
to:
2(x + y) = 9


I got the question right when I answered the question but I want to make sure I undestood the explanation as well - for some reason I am stuck on this.

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